The area enclosed by the ellipse \(4x^2+9y^2=1\) is

\(\frac{\pi}{2}\) \(\frac{\pi}{3}\) \(\frac{\pi}{6}\) \(\pi\)

\(\frac{\pi}{6}\)

Area of ellipse \(\frac{x^2}{a^2}+\frac{y^2}{b^2}=1\) is \(\pi ab\)